113120020 has 48 divisors (see below), whose sum is σ = 260683920. Its totient is φ = 40974336.

The previous prime is 113120011. The next prime is 113120027. The reversal of 113120020 is 20021311.

It can be written as a sum of positive squares in 8 ways, for example, as 18096516 + 95023504 = 4254^2 + 9748^2 .

It is a super-2 number, since 2×113120020² = 25592277849600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 113119979 and 113120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113120027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9676 + ... + 17884.

It is an arithmetic number, because the mean of its divisors is an integer number (5430915).

Almost surely, 2^113120020 is an apocalyptic number.

113120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130341960).

113120020 is an abundant number, since it is smaller than the sum of its proper divisors (147563900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113120020 is a wasteful number, since it uses less digits than its factorization.

113120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 113120020 is about 10635.7895804684. The cubic root of 113120020 is about 483.6299165332.

Adding to 113120020 its reverse (20021311), we get a palindrome (133141331).

The spelling of 113120020 in words is "one hundred thirteen million, one hundred twenty thousand, twenty".